Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536w |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3158269231104 = 218 · 32 · 132 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4304,68544] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:390:1] |
Generators of the group modulo torsion |
j |
2153185532497/771061824 |
j-invariant |
L |
2.7448203438189 |
L(r)(E,1)/r! |
Ω |
0.73132919928746 |
Real period |
R |
1.876596986975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6942m2 |
Quadratic twists by: -4 |